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A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES

Author
SWARTZ,CHARLES

Full text
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100002
Abstract
We consider the Banach-Mackey property for pairs of vector spaces E and E' which ar in duality. Le A be and algebra of sets and assume that P is an additive map from A into the projection operators on E. We define a continuous gliding hump property for the map P and show that pairs with this gliding hump property and another measure theoretic property are Banch-Mackey pairs, i.e., weakly bounded subsets of E are strongly bounded. Examples of vector valued function spaces, such as the space of Pettis integrable functions, which satisfy these conditions are given
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Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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